Question

Simplify the expression and write your answer as a complex number: 7√49 - √(-16).

Answer 1

`\Huge \boxed{ \boxed{\boxed{\bf{49 - 4i}}}}`

Explanation:

We'll start with the first term:
`\large \boxed{\tt{√(49)}}`. The square root of 49 is 7, so this term simplifies to
`\boxed{\tt{7 * 7}}`, which is 49.

Now let's simplify the second term:
`\large \boxed{\tt{√(-16)}}`. The square root of a negative number is not defined in the real number system, so we need to express it as a complex number. The square root of -16 can be written as 4i, where 'i' represents the imaginary unit (√(-1)). Therefore, √(-16) = 4i.

Now we can rewrite the expression with the simplified terms:

`\Large \boxed{\boxed{\bf{49 - 4i}}}`

So, the simplified expression, written as a complex number, is 49 - 4i.

#BTH1

__________________________________________________________